You are talking about the glove where you touch each of the fingers, yes? If so, there is a key on the table next to you. Grab it, go back up to the library. Along the left wall when you enter and head towards the desk, there is a chest. Warning, it is stealing so you better sneak. Take the rings from the chest and go back to the glove. Once you put them on the right fingers, there is only 1 possible combination and the rings will show on the glove when they are right, it will summon sombody, cant remember who. You can wither accept his offer or kill him.

Somebody at Bathesda needs a bullet for making this achievement one that is only obtainable if you do certain things correctly. I have 49 achievements, this one is the only one hanging. I play the game normally without looking anything up...then after I finish, will go achv. hunting. I have 13 artifacts...and now realize I can't get the other ones. Unreal. Reminiscent of the bobble head in Fallout in the Brotherhood of Steels bunker. Once it blew up, there was no getting back, had to start game completely over to get that achievement...and now this one. Dumb asses.